1 suppose a spin 1 2 particle is in the state 1 i 6 2 6 where and represents the two eigenstates

Name: 1 suppose a spin 1 2 particle is in the state 1 i 6 2 6 where and represents the two eigenstates of sz with eigenvalues of h2 and h2 respectively what is the probability of getting h2 if you 28017
Uploaded: 2023-06-14T10:01:12-08:00
Duration: 57 s
Channel: Adi S
Description: 1 suppose a spin 1 2 particle is in the state 1 i 6 2 6 where and represents the two eigenstates of sz with eigenvalues of h2 and h2 respectively what is the probability of getting h2 if you 28017

Question

Stephen Zaffke · Accepted Answer

First, we need to normalize the state |χ〉. The normalization factor is given by the square root

Question

Suppose a spin-1/2 particle is in the state |χ⟩ = (1 + i)/√6 |↑⟩ + 2/√6 |↓⟩, where |↑⟩ and |↓⟩ represent the two eigenstates of Sz with eigenvalues of h/2 and -h/2, respectively. What is the probability of getting +h/2 if you measure Sz? Answer: A. 1/2 B. 1/3 C. 1/4 D. 2/√6

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